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Finding the Fourth Proportional to 399,314.71, 551,050.12 and 218,026.08

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Solution

The fourth proportional to 399,314.71, 551,050.12 and 218,026.08 is: 300,873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,314.71 : 551,050.12 = 218,026.08 : x
  2. Step 2: Convert to fraction form
    399,314.71/551,050.12 = 218,026.08/x
  3. Step 3: Cross multiply
    399,314.71x = 551,050.12 × 218,026.08
  4. Step 4: Simplify right side
    399,314.71x = 120,143,294,791.88
  5. Step 5: Solve for x
    x = 120,143,294,791.88/399,314.71
  6. Step 6: Final answer
    x = 300,873.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.